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Finding the Third Proportional to 4.03 and 7.97

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Solution

The third proportional to 4.03 and 7.97 is: 15.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.03 : 7.97 = 7.97 : x
  2. Step 2: Convert to fraction form
    4.03/7.97 = 7.97/x
  3. Step 3: Cross multiply
    4.03x = 7.97 × 7.97
  4. Step 4: Simplify right side
    4.03x = 63.50
  5. Step 5: Solve for x
    x = 63.50/4.03
  6. Step 6: Final answer
    x = 15.75

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.